Live analysis

13,134

13,134 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

13,134 (thirteen thousand one hundred thirty-four) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 199. Its proper divisors sum to 15,666, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x334E.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,122 13,123 13,124 13,125 13,126 13,127 13,128 13,129 13,130 13,131 13,132 13,133 13,134 13,135 13,136 13,137 13,138 13,139 13,140 13,141 13,142 13,143 13,144 13,145 13,146

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 36
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 43,131
Recamán's sequence: a(48,007) = 13,134
Square (n²): 172,501,956
Cube (n³): 2,265,640,690,104
Divisor count: 16
σ(n) — sum of divisors: 28,800
φ(n) — Euler's totient: 3,960
Sum of prime factors: 215

Primality

Prime factorization: 2 × 3 × 11 × 199

Nearest primes: 13,127 (−7) · 13,147 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 199 · 398 · 597 · 1194 · 2189 · 4378 · 6567 (half) · 13134

Aliquot sum (sum of proper divisors): 15,666

Factor pairs (a × b = 13,134)

1 × 13134

2 × 6567

3 × 4378

6 × 2189

11 × 1194

22 × 597

33 × 398

66 × 199

First multiples

13,134 · 26,268 (double) · 39,402 · 52,536 · 65,670 · 78,804 · 91,938 · 105,072 · 118,206 · 131,340

Sums & aliquot sequence

As consecutive integers: 4,377 + 4,378 + 4,379 3,282 + 3,283 + 3,284 + 3,285 1,189 + 1,190 + … + 1,199 1,089 + 1,090 + … + 1,100

Aliquot sequence: 13,134 → 15,666 → 20,238 → 20,250 → 36,378 → 45,990 → 92,538 → 113,850 → 234,342 → 286,074 → 361,638 → 468,282 → 523,590 → 775,866 → 1,240,134 → 1,594,554 → 1,840,038 — unresolved within range

Continued fraction of √n

√13,134 = [114; (1, 1, 1, 1, 10, 3, 5, 1, 1, 4, 7, 2, 2, 1, 1, 1, 2, 2, 1, 8, 2, 6, 2, 8, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand one hundred thirty-four
Ordinal: 13134th
Binary: 11001101001110
Octal: 31516
Hexadecimal: 0x334E
Base64: M04=
One's complement: 52,401 (16-bit)
Scientific notation: 1.3134 × 10⁴
As a duration: 13,134 s = 3 hours, 38 minutes, 54 seconds

In other bases

ternary (3) 200000110

quaternary (4) 3031032

quinary (5) 410014

senary (6) 140450

septenary (7) 53202

nonary (9) 20013

undecimal (11) 9960

duodecimal (12) 7726

tridecimal (13) 5c94

tetradecimal (14) 4b02

pentadecimal (15) 3d59

Palindromic in base 5

As an angle

13,134° = 36 × 360° + 174°

174° ≈ 3.037 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγρλδʹ
Mayan (base 20): 𝋡·𝋬·𝋰·𝋮
Chinese: 一萬三千一百三十四
Chinese (financial): 壹萬參仟壹佰參拾肆

In other modern scripts

Eastern Arabic ١٣١٣٤ Devanagari १३१३४ Bengali ১৩১৩৪ Tamil ௧௩௧௩௪ Thai ๑๓๑๓๔ Tibetan ༡༣༡༣༤ Khmer ១៣១៣៤ Lao ໑໓໑໓໔ Burmese ၁၃၁၃၄

Digit at this position in famous constants

π — Pi (π): Digit 13,134 = 8
e — Euler's number (e): Digit 13,134 = 5
φ — Golden ratio (φ): Digit 13,134 = 4
√2 — Pythagoras's (√2): Digit 13,134 = 8
ln 2 — Natural log of 2: Digit 13,134 = 2
γ — Euler-Mascheroni (γ): Digit 13,134 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13134, here are decompositions:

7 + 13127 = 13134
13 + 13121 = 13134
31 + 13103 = 13134
41 + 13093 = 13134
71 + 13063 = 13134
97 + 13037 = 13134
101 + 13033 = 13134
127 + 13007 = 13134

Showing the first eight; more decompositions exist.

Unicode codepoint

㍎

Square Yaado

U+334E

Other symbol (So)

UTF-8 encoding: E3 8D 8E (3 bytes).

Lookup U+334E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00334E

RGB(0, 51, 78)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.78.

Address: 0.0.51.78
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.78

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 13,134 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -20¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +17¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -19¢)

Position in π

The digit sequence 13134 first appears in π at position 142,396 of the decimal expansion (the 142,396ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 13134 on Pi Search ↗